x-sinx =0

==> sinx = x

If you assume that there are two functions:

y=sinx and y=x

The graph will show that both functions only intersect at one point (0,0)

Then the only solution is x=0

To check

sin 0 = 0

The only value for the equality is 0

sin...

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x-sinx =0

==> sinx = x

If you assume that there are two functions:

y=sinx and y=x

The graph will show that both functions only intersect at one point (0,0)

Then the only solution is x=0

To check

sin 0 = 0

The only value for the equality is 0

sin 0 = 0

OR:

x-sinx > 0 for x>0

x-sinx <0 for x<0

x-sinx=0 for x=0